基于复杂网络理论的大型换热网络节点重要性评价

Evaluation of the node importance for large heat exchanger network based on complex network theory

鉴于换热网络大型化和流股间复杂关系,使得换热网络换热器节点重要性的研究显得越来越重要,对其控制和安全运行的工程实践方面具有指导意义。本文以大型换热网络为研究对象,将换热器抽象为节点,换热器之间的干扰传递抽象为边,构造网络拓扑结构。在复杂网络理论的基础上,提出了评价大型换热网络节点重要性的策略和模型。首先,从网络的点度中心性、中间中心性、接近中心性和特征向量中心性等网络拓扑结构属性出发,依据多属性决策方法对网络节点重要性进行综合评价;其次,考虑换热网络的方向性,基于PageRank算法对该网络进行节点重要性评价研究。综合两个算法的计算结果得出最终结论。案例分析表明:该研究方法是有效的,可从不同的角度全面评价换热网络的节点重要性,丰富了换热器节点重要性评价的相关理论。

Because of the complexity of large-scale heat exchanger network,it is important to investigate the importance of heat exchanger nodes in heat exchanger network. It can provide guidance for the control and safe operation of heat exchanger networks,as well as engineering practices. In this paper,the network topology structure of large-scale heat exchanger network was constructed by treating heat exchangers as nodes and treating the transfer of interference between heat exchangers as edges. Based on the complex network theory,the strategies and models for evaluating the node importance of the heat exchanger network were proposed. Firstly,the importance of nodes were evaluated by the multi-attribute decision method based on the degree centrality, betweenness,closeness and eigenvector centralities. Next,considering the direction of case heat exchanger network,Page Rank algorithm was used to evaluate the importance of nodes. Considering the results from these two algorithms,the final results were obtained. The case analysis showed that the strategy is effective and it can evaluate the node importance from different views,which will enrich the node importance evaluation theory for heat exchanger network.